The term "crossed path" signifies an encounter, meeting or interaction between two individuals, groups, or things. The opposite of this term would be "avoided path," which refers to situations where two entities go to lengths to avoid each other. It can also describe relationships where both parties have no connection or intersection and choose to remain separate. Other antonyms for crossed path could include "distant paths" or "parallel paths," indicating that two individuals are moving in the same direction but without ever meeting or interacting. Whereas, the term "shared path" refers to continuous or frequent intersection, overlap or collision in thought, beliefs or experiences.